Derivative Rules - Practice

This math unit focuses on advancing proficiency in calculus through the application of derivative rules across various contexts. Beginning with the application of the product rule to differentiate functions with both negative and positive fractional exponents, students initially learn to handle derivatives involving simple polynomials and radical expressions. The unit then transitions to the quotient rule, tackling derivatives of functions with both positive and negative powers, including those represented as radicals or divisions. This develops skills in managing more complex algebraic forms. Further complexity is introduced with the chain rule, guiding students through differentiating functions that involve both positive and negative powers, expressed conventionally or as radicals. Here, the emphasis is on mastering the differentiation of composite functions that feature polynomial and power functions. The unit culminates with a focus on natural exponential functions, where students apply both the chain rule and exponential derivative rules to compute derivatives of expressions involving constants and powers, solidifying their understanding of calculus.Skills you will learn include:

• The product rule
• The quotient rule
• The chain rule
• Differentiating composed and combined power functions